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Simplifying X(4 + 4x) + -8(x + -1) = 0 (4 * X + 4x * X) + -8(x + -1) = 0 (4X + 4xX) + -8(x + -1) = 0 Reorder the terms: 4X + 4xX + -8(-1 + x) = 0 4X + 4xX + (-1 * -8 + x * -8) = 0 4X + 4xX + (8 + -8x) = 0 Reorder the terms: 8 + 4X + -8x + 4xX = 0 Solving 8 + 4X + -8x + 4xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 4X + -8x + -8 + 4xX = 0 + -8 Reorder the terms: 8 + -8 + 4X + -8x + 4xX = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4X + -8x + 4xX = 0 + -8 4X + -8x + 4xX = 0 + -8 Combine like terms: 0 + -8 = -8 4X + -8x + 4xX = -8 Add '8x' to each side of the equation. 4X + -8x + 8x + 4xX = -8 + 8x Combine like terms: -8x + 8x = 0 4X + 0 + 4xX = -8 + 8x 4X + 4xX = -8 + 8x Reorder the terms: 8 + 4X + -8x + 4xX = -8 + 8x + 8 + -8x Reorder the terms: 8 + 4X + -8x + 4xX = -8 + 8 + 8x + -8x Combine like terms: -8 + 8 = 0 8 + 4X + -8x + 4xX = 0 + 8x + -8x 8 + 4X + -8x + 4xX = 8x + -8x Combine like terms: 8x + -8x = 0 8 + 4X + -8x + 4xX = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(2 + X + -2x + xX) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + X + -2x + xX)' equal to zero and attempt to solve: Simplifying 2 + X + -2x + xX = 0 Solving 2 + X + -2x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + X + -2x + -2 + xX = 0 + -2 Reorder the terms: 2 + -2 + X + -2x + xX = 0 + -2 Combine like terms: 2 + -2 = 0 0 + X + -2x + xX = 0 + -2 X + -2x + xX = 0 + -2 Combine like terms: 0 + -2 = -2 X + -2x + xX = -2 Add '2x' to each side of the equation. X + -2x + 2x + xX = -2 + 2x Combine like terms: -2x + 2x = 0 X + 0 + xX = -2 + 2x X + xX = -2 + 2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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